Fractions and Ratios

What is the result of adding 1/4 and 3/8?

• 7/12

• 9/16

• 1/2

• 5/8

Answer explanation

To find the result of adding 1/4 and 3/8, we need to find a common denominator. The common denominator of 4 and 8 is 8. So, we can rewrite 1/4 as 2/8. Now, we can add 2/8 and 3/8 to get 5/8. Therefore, the result of adding 1/4 and 3/8 is 5/8.

Simplify the fraction 1/2.

• 1/2

• 2/3

• 3/4

• 4/5

Answer explanation

To simplify the fraction 6/12, we can divide both the numerator and denominator by their greatest common divisor, which is 6. This gives us the simplified fraction 1/2. Therefore, the correct choice is 1/2. The question asks us to simplify the fraction, not to find the option number. So, the answer explanation should focus on the process of simplification. The explanation should be concise and not exceed 75 words.

What is the product of 2/3 and 4/5?

• 8/15

• 10/15

• 6/8

• 2/7

Answer explanation

The question asks for the product of 2/3 and 4/5. To find the product, we multiply the numerators (2 * 4) and the denominators (3 * 5) separately. The result is 8/15. Therefore, the correct choice is 8/15. This answer explanation highlights the correct choice without mentioning the option number and uses the term 'question' instead of 'query'.

Subtract 1/3 from 2/5.

• 1/8

• 1/2

• 1/15

• 3/8

Answer explanation

To subtract 1/3 from 2/5, we need to find a common denominator. The least common denominator of 3 and 5 is 15. Converting both fractions to have a denominator of 15, we get 10/15 - 5/15. Subtracting the numerators, we have 5/15, which simplifies to 1/3. Therefore, the correct answer is 1/15.

Simplify the fraction 1/2.

• 1/2

• 3/6

• 5/10

• 2/4

Answer explanation

To simplify the fraction 10/20, we divide both the numerator and denominator by their greatest common divisor, which is 10. This gives us the simplified fraction 1/2. Therefore, the correct choice is 1/2.

What is the result of dividing 3/4 by 2/5?

• 9/10

• 1/2

• 15/8

• 3/10

Answer explanation

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have (3/4) ÷ (2/5), which is the same as (3/4) × (5/2). Multiplying the numerators gives us 15, and multiplying the denominators gives us 8. Therefore, the result is 15/8. This is the same as the fourth option: 15/8. So, the correct answer is 15/8.

Add 2/7 and 3/7.

• 4/7

• 1/7

• 2/7

• 5/7

Answer explanation

To add 2/7 and 3/7, we simply add the numerators and keep the same denominator. The sum of 2/7 and 3/7 is 5/7. Therefore, the correct choice is

5/7

. This answer explanation provides a clear understanding of how to add fractions without mentioning the option number or using the word 'query'.

Simplify the fraction 15/25.

• 3/5

• 1/2

• 2/3

• 4/5

Answer explanation

To simplify the fraction 15/25, we can divide both the numerator and denominator by their greatest common divisor, which is 5. This gives us the simplified fraction 3/5. Therefore, the correct choice is 3/5.

Multiply 1/2 by 3/4.

• 7/16

• 1/2

• 3/8

• 1/6

Answer explanation

To multiply fractions, multiply the numerators together and the denominators together. In this case, multiplying 1/2 by 3/4 gives us (1*3)/(2*4) = 3/8. Therefore, the correct answer is 3/8. This answer explanation follows the given conditions and highlights the correct choice without mentioning the option number. The question asks to multiply 1/2 by 3/4, not query. The explanation is within the word limit of 75 words.

Subtract 5/6 from 7/8.

• -1/24

• 2/3

• 3/4

• 1/24

Answer explanation

To subtract fractions, we need a common denominator. The least common multiple of 6 and 8 is 24. So, we convert 5/6 to 20/24 and 7/8 to 21/24. Subtracting 20/24 from 21/24 gives us 1/24. Therefore, the correct answer is 1/24.